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Employee Benefit Plans (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Defined Benefit Plan Disclosure        
Weighted average expected long-term rate of return on plan assets (percent)     6.00% 6.00%
Pension settlement charge $ 0.5      
Global Retail        
Defined Benefit Plan Disclosure        
Reporting unit, percentage of fair value in excess of carrying amount 1.00%   1.00%  
Domestic        
Defined Benefit Plan Disclosure        
Service cost $ 0.0 $ 0.1 $ 0.0 $ 0.3
Interest cost 1.5 1.1 4.5 2.6
Expected return on plan assets (2.0) (2.1) (6.0) (5.2)
Net amortization loss 0.0 0.0 0.0 0.0
Net periodic benefit (income) cost (0.5) (0.9) (1.5) (2.3)
International        
Defined Benefit Plan Disclosure        
Service cost 0.0 0.0 0.0 0.0
Interest cost 0.8 0.8 2.4 2.5
Expected return on plan assets (1.2) (1.8) (3.5) (5.4)
Net amortization loss 0.6 1.7 1.8 5.0
Net periodic benefit (income) cost $ 0.2 $ 0.7 $ 0.7 $ 2.1